Analytical Model of Unconstrained Nonlocal Higher-Order Nano-Plates for Bending Analysis

This paper presents a higher-order nonlocal plate model and its formulation for bending analysis of nanoplates via variational principle and virtual work approach based on Leung’s unconstrained higher-order plate theory and Eringen’s nonlocal continuum theory. Bending of the simply supported rectangular higher-order nano-plate is investigated in comparison with the lower-order plate models. The numerical examples show that nonlocal nanoscale parameters increase the deflections of the plate as the rotary inertia and the transverse shear deformation do.